{
  "id": "math/0211273",
  "version": "v1",
  "published": "2002-11-18T14:13:41.000Z",
  "updated": "2002-11-18T14:13:41.000Z",
  "title": "A finiteness result for Heegaard splittings",
  "authors": [
    "Martin Lustig",
    "Yoav Moriah"
  ],
  "comment": "25 pages, 8 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "In this paper we show that for a given 3-manifold and a given Heegaard splitting there are finitely many preferred decomposing systems of $3g - 3$ disjoint essential disks. These are characterized by a combinatorial criterion which is a slight strengthening of Casson-Gordon's rectangle condition. This is in contrast to fact that in general there can exist infinitely many such systems of disks which satisfy just the Casson-Gordon rectangle condition.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-11-18T14:13:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57N25"
    ],
    "keywords": [
      "heegaard splitting",
      "finiteness result",
      "casson-gordons rectangle condition",
      "casson-gordon rectangle condition",
      "disjoint essential disks"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math.....11273L"
    }
  }
}